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Maksim231197 [3]
3 years ago
8

Does anyone know how to do this pls help

Mathematics
2 answers:
erica [24]3 years ago
7 0
Write:
x + 18 + 23 = 90

Next combine like terms (which is 18 + 23)

*Remember that combining like terms is adding or subtracting the numbers that are in one side of the equal sign (basically do not add 18, 23, and 90).

You will now get x + 41 = 90.

Now subtract 41 into 90
(90 - 41).

Your answer should be x = 49.

*Make sure this is the right answer by adding 49, 18, and 23 together. If it all equals to 90°, then the answer is correct.

irina [24]3 years ago
5 0

Answer:

49

Step-by-step explanation:

x+18+23=90 (right angle)

x+ 41=90

x=90-41

x= 49

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QUESTION IN THE ATTACHMENT
eimsori [14]

Answer:

A. The sum of the first 10th term is 100.

B. The sum of the nth term is n²

Step-by-step explanation:

Data obtained from the question include:

Sum of 20th term (S20) = 400

Sum of 40th term (S40) = 1600

Sum of 10th term (S10) =..?

Sum of nth term (Sn) =..?

Recall:

Sn = n/2[2a + (n – 1)d]

Sn is the sum of the nth term.

n is the number of term.

a is the first term.

d is the common difference

We'll begin by calculating the first term and the common difference. This is illustrated below:

Sn = n/2 [2a + (n – 1)d]

S20 = 20/2 [2a + (20 – 1)d]

S20= 10 [2a + 19d]

S20 = 20a + 190d

But:

S20 = 400

400 = 20a + 190d .......(1)

S40 = 40/2 [2a + (40 – 1)d]

S40 = 20 [2a + 39d]

S40 = 40a + 780d

But

S40 = 1600

1600 = 40a + 780d....... (2)

400 = 20a + 190d .......(1)

1600 = 40a + 780d....... (2)

Solve by elimination method

Multiply equation 1 by 40 and multiply equation 2 by 20 as shown below:

40 x equation 1:

40 x (400 = 20a + 190d)

16000 = 800a + 7600. ........ (3)

20 x equation 2:

20 x (1600 = 40a + 780d)

32000 = 800a + 15600d......... (4)

Subtract equation 3 from equation 4

Equation 4 – Equation 3

32000 = 800a + 15600d

– 16000 = 800a + 7600d

16000 = 8000d

Divide both side by 8000

d = 16000/8000

d = 2

Substituting the value of d into equation 1

400 = 20a + 190d

d = 2

400 = 20a + (190 x 2)

400 = 20a + 380

Collect like terms

400 – 380 = 20a

20 = 20a

Divide both side by 20

a = 20/20

a = 1

Therefore,

First term (a) = 1.

Common difference (d) = 2.

A. Determination of the sum of the 10th term.

First term (a) = 1.

Common difference (d) = 2

Number of term (n) = 10

Sum of 10th term (S10) =..?

Sn = n/2 [2a + (n – 1)d]

S10 = 10/2 [2x1 + (10 – 1)2]

S10 = 5 [2 + 9x2]

S10 = 5 [2 + 18]

S10 = 5 x 20

S10 = 100

Therefore, the sum of the first 10th term is 100.

B. Determination of the sum of the nth term.

First term (a) = 1.

Common difference (d) = 2

Sum of nth term (Sn) =..?

Sn = n/2 [2a + (n – 1)d]

Sn = n/2 [2x1 + (n – 1)2]

Sn = n/2 [2 + 2n – 2]

Sn = n/2 [2 – 2 + 2n ]

Sn = n/2 [ 2n ]

Sn = n²

Therefore, the sum of the nth term is n²

6 0
3 years ago
Find the original price given the total amount and tip rate. Total price 307.32 tip rate 20%
eduard

Answer:

the answer is 61.3

Step-by-step explanation:

you have to dived one number by the other

5 0
2 years ago
What is a scale factor?
Nina [5.8K]

Answer:

The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures.

Step-by-step explanation:

3 0
3 years ago
What words math with 24 - (6+3)
inessss [21]

Answer:

15

Step-by-step explanation:

3 0
3 years ago
COOKING The instructions on a box of chicken patties state that one patty should be cooked for 2.5 minutes
Julli [10]

Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

or

y=1.5x+52

8 0
3 years ago
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